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vaieri [72.5K]
2 years ago
6

What is |1-8i|? A. B. C D

Mathematics
1 answer:
kondor19780726 [428]2 years ago
3 0

9514 1404 393

Answer:

  (b) √65

Step-by-step explanation:

The modulus of a complex number is the root of the sum of the squares of the real and imaginary parts.

  |1 -8i| = √(1² +(-8)²) = √(1+64) = √65

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Divide 20m^2n^3 - 10m^2n by 5mn
Sonja [21]

\frac{20 {m}^{2} {n}^{3}  - 10 {m}^{2}n  }{5mn}  \\  =   \frac{5mn(4m {n}^{2} - 2m) }{5mn}  \\  = 4 {m}^{2} n - 2m \\  = 2m(2mn - 1)

Hope this helps. - M
6 0
3 years ago
Terrance is making a scale model of a
Tanya [424]

Answer:

6.4 inches

Step-by-step explanation:

We are going to have to use ratio's here. We know that 1 inch = 2.5 feet and we know that Terrance is making a scale model of a  car that is 16 feet long. We need to work out the length of the car in inches so,

1 inches = 2.5 feet

? inches = 16 feet

→ We are going to divide 16 by 2.5 and then multiply that answer by 1 to get our result so

16 ÷ 2.5 = 6.4

6.4 × 1 = 6.4

The final answer is 6.4 inches

5 0
3 years ago
True or False. When flipping a penny 14 times the penny likelihood of landing on heads is 7 times.
Elenna [48]

Answer:

True

Step-by-step explanation:

Since a penny has head and tails, each has 1/2 chance to land on heads or tales, so 14*1/2=7, so true.

5 0
2 years ago
A valid conclusion for the quadratic equation x2 - 6x + 8 = 0
Kazeer [188]

Answer:

(x-4)(x-2)

Step-by-step explanation:


8 0
3 years ago
Solve system by elimination<br> y=x^2<br> y=x+2<br> SHOW YOUR WORK
Dimas [21]
We have that
y=x²----> equation 1<span>
y=x+2-----> equation 2

multiply equation 1 by -1
-y=-x</span>²

add equation 1 and equation 2
-y=-x²
 y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²-x)=2
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²-x+0.5²)=2+0.5²

Rewrite as perfect squares

(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1

for x=2
y=x²----> y=2²----> y=4
the point is (2,4)

for x=-1
y=x²----> y=(-1)²---> y=1
the point is (-1,1)

the answer is
the solution of the system are the points
(2,4) and (-1,1)


3 0
3 years ago
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